A rectangular swimming pool of dimension 20 m x 10m x 2m (length x width x depth) has an inlet with a flowrate of 1 m³/min. If the empty pool takes 10 hrs time to get completely filled with a leakage rate of 0.13 m³/min, what is the approximate evaporation rate (in m3/min)?
Given:
Pool dimensions = 20 m × 10 m × 2 m
Volume of pool = 20 × 10 × 2 = 400 m³
Inlet flow rate = 1 m³/min
Filling time = 10 hours = 10 × 60 = 600 minutes
Leakage rate = 0.13 m³/min
Need to find: Evaporation rate (in m³/min)
Formula Used:
Net volume filled in 600 min = (Inlet Rate−Leakage Rate−Evaporation Rate) × Time = Volume of Pool
Let evaporation rate be x m³/min.
Solution:
Final Answer: Approximately 0.20 m³/min → Option (B)
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